Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 12 - Data Analysis and Probability - 12-1 Organizing Data Using Matrices - Practice and Problem-Solving Exercises - Page 731: 32


x=4 y=-1

Work Step by Step

You have the equations x-3y=7 and 3x+2y=10. Solve the first equation for X: x-3y=7 -add 3y to both sides- x=7+3y Substitute x=7+3y into the second equation: 3x+2y=10 3(7+3y)+2y=10 -distribute- 21+9y+2y=10 -simplify like terms- 21+11y=10 -subtract 21 from both sides- 11y=-11 -divide both sides by 11- y=-1 Substitute y=-1 into one of the equations: x-3(-1)=7 -distribute- x+3=7 -subtract 3 from both sides- x=4 Check your work: 3(4)+2(-1)=10 12-2=10 10=10 The solution is (4,-1)
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